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Finding the Fourth Proportional to 80,761.60, 121,142.40 and 51,212.80

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Solution

The fourth proportional to 80,761.60, 121,142.40 and 51,212.80 is: 76,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,761.60 : 121,142.40 = 51,212.80 : x
  2. Step 2: Convert to fraction form
    80,761.60/121,142.40 = 51,212.80/x
  3. Step 3: Cross multiply
    80,761.60x = 121,142.40 × 51,212.80
  4. Step 4: Simplify right side
    80,761.60x = 6,204,041,502.72
  5. Step 5: Solve for x
    x = 6,204,041,502.72/80,761.60
  6. Step 6: Final answer
    x = 76,819.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.